Solving Inequalities Date Period - Kuta Software

Kuta Software - Infinite Algebra 2

Solving Inequalities

Solve each inequality and graph its solution. 1) 0 > 3x - 3 - 6

-2 -1 0 1 2 3 4 5 6 7 8

Name___________________________________ Date________________ Period____

2) 4x + 1 - 1 -8

-5 -4 -3 -2 -1 0

1

3) -1 2n + 4 - 5

-2 -1 0

1

2

3

4

4) -6 > 5n + 5 + 4

-7 -6 -5 -4 -3 -2 -1 0 1 2

5) 0 2n + 3n

-5 -4 -3 -2 -1 0 1 2

7) 7 < -(-k - 3) + 2

-3 -2 -1 0 1 2 3 4

9) -5(1 - 4a) > -5

-4 -3 -2 -1 0 1 2 3 4

6) 2 p - 4 p -2

-4 -3 -2 -1 0 1 2 3 4 5

8) 3 - 2(n - 4) > -1

3

4

5

6

7

8

10) -2(b + 1) + 4 < 10

-8 -7 -6 -5 -4 -3 -2 -1 0 1

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Worksheet by Kuta Software LLC

11) a - 15 > -4(-6 + 3a)

1

2

3

4

5

12) 3(6b - 1) > 18 - 3b

-1 0

1

2

3

4

5

13) 26 + m 5(-6 + 3m)

01234567

15) x + 1 + 1 + 6x > 3(x - 4) - (x - 4)

-5 -4 -3 -2 -1 0 1 2 3

17) 2(1 - 4r) < -2(r + 3) - 4

-2 -1 0

1

2

3

4

14) 20 - 2 p > -2( p + 2) + 4 p

123456789

16) -6(1 + 6x) < 6(1 - 5x)

-6 -5 -4 -3 -2 -1 0 1 2

18) -6(1 + 2x) 6(2x - 1) + 2x

-2 -1 0

1

2

3

4

19) -2(1 - 5x) > -(x + 1) - 1

-5 -4 -3 -2 -1 0 1 2 3 4 5

20) 5x - (x + 2) > -5(1 + x) + 3

-3

-2

-1

0

1

2

Critical thinking questions:

21) Write an inequality with x on both sides whose solution is x 2

22) Name one particular solution to question #20.

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Solving Inequalities

Solve each inequality and graph its solution. 1) 0 > 3x - 3 - 6

-2 -1 0 1 2 3 4 5 6 7 8

Name___________________________________ Date________________ Period____

2) 4x + 1 - 1 -8

-5 -4 -3 -2 -1 0

1

3) -1 2n + 4 - 5

-2 -1 0

1

2

3

4

4) -6 > 5n + 5 + 4

-7 -6 -5 -4 -3 -2 -1 0 1 2

5) 0 2n + 3n

-5 -4 -3 -2 -1 0 1 2

7) 7 < -(-k - 3) + 2

-3 -2 -1 0 1 2 3 4

9) -5(1 - 4a) > -5

-4 -3 -2 -1 0 1 2 3 4

6) 2 p - 4 p -2

-4 -3 -2 -1 0 1 2 3 4 5

8) 3 - 2(n - 4) > -1

3

4

5

6

7

8

10) -2(b + 1) + 4 < 10

-8 -7 -6 -5 -4 -3 -2 -1 0 1

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-1-

Worksheet by Kuta Software LLC

11) a - 15 > -4(-6 + 3a)

1

2

3

4

5

12) 3(6b - 1) > 18 - 3b

-1 0

1

2

3

4

5

13) 26 + m 5(-6 + 3m)

01234567

15) x + 1 + 1 + 6x > 3(x - 4) - (x - 4)

-5 -4 -3 -2 -1 0 1 2 3

17) 2(1 - 4r) < -2(r + 3) - 4

-2 -1 0

1

2

3

4

14) 20 - 2 p > -2( p + 2) + 4 p

123456789

16) -6(1 + 6x) < 6(1 - 5x)

-6 -5 -4 -3 -2 -1 0 1 2

18) -6(1 + 2x) 6(2x - 1) + 2x

-2 -1 0

1

2

3

4

19) -2(1 - 5x) > -(x + 1) - 1

-5 -4 -3 -2 -1 0 1 2 3 4 5

20) 5x - (x + 2) > -5(1 + x) + 3

-3

-2

-1

0

1

2

Critical thinking questions:

21) Write an inequality with x on both sides whose solution is x 2 Many answers. Ex: 2x x + 2

22) Name one particular solution to question #20. Any number greater than zero. Ex: 4.7

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at

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Worksheet by Kuta Software LLC

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